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20314494600 = 23352143323627
BaseRepresentation
bin10010111010110101…
…101001011010001000
31221102202022020201220
4102322311221122020
5313101002311400
613155442042040
71316261232531
oct227265513210
957382266656
1020314494600
118685003514
123b2b349320
131bb98ac00a
14da9d8d688
157dd68e7a0
hex4bad69688

20314494600 has 96 divisors (see below), whose sum is σ = 63021546720. Its totient is φ = 5413189120.

The previous prime is 20314494589. The next prime is 20314494611. The reversal of 20314494600 is 649441302.

It is an interprime number because it is at equal distance from previous prime (20314494589) and next prime (20314494611).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847987 + ... + 871613.

It is an arithmetic number, because the mean of its divisors is an integer number (656474445).

Almost surely, 220314494600 is an apocalyptic number.

20314494600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314494600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31510773360).

20314494600 is an abundant number, since it is smaller than the sum of its proper divisors (42707052120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20314494600 is a wasteful number, since it uses less digits than its factorization.

20314494600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25079 (or 25070 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 20314494600 in words is "twenty billion, three hundred fourteen million, four hundred ninety-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1433 2866 4299 5732 7165 8598 11464 14330 17196 21495 23627 28660 34392 35825 42990 47254 57320 70881 71650 85980 94508 107475 118135 141762 143300 171960 189016 214950 236270 283524 286600 354405 429900 472540 567048 590675 708810 859800 945080 1181350 1417620 1772025 2362700 2835240 3544050 4725400 7088100 14176200 33857491 67714982 101572473 135429964 169287455 203144946 270859928 338574910 406289892 507862365 677149820 812579784 846437275 1015724730 1354299640 1692874550 2031449460 2539311825 3385749100 4062898920 5078623650 6771498200 10157247300 20314494600